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Path-integral methods for turbulent diffusion

Published online by Cambridge University Press:  20 April 2006

I. T. Drummond
I. T. Drummond
Affiliation:
Department of Applied Mathematics and Theoretical Physics. University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

We derive a path-integral representation for the effective diffusion function of a passive scalar field. We use it to calculate the long-time effective diffusivity in Gaussian turbulence in the near-Markovian limit. Our results confirm the negative effect of vorticity predicted by previous discussions. They also demonstrate that the helicity of the turbulence when present may be as important an influence as the vorticity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 59 - 68
Copyright
© 1982 Cambridge University Press

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